1. NMSSM & B-meson Dileptonic Decays
Jin Min Yang
杨 金 民
ITP, Beijing
arXiv:
Heng, Wang, Oakes, Xiong, JMY

2. Outline
Introduction
NMSSM Model
B Dileptonic Decay
Conclusion

3. 1. Introduction About B physics
B-physics is not over (super B-factory, LHCb)
Some B processes are sensitive to new physics

4. Dynamical solution to -problem
About NMSSM
Dynamical solution to -problem
Solve little hierarchy problem
What is -problem ?
What is little hierarchy problem ?

5. -problem: only dimensionful parameter conserving SUSY
should be at Planck scale

6. little hierarchy: 100 GeV Experimental lower bound we need sizable
mh  114 GeV (95 GeV)
we need sizable
loop effects !
Theoretical upper bound
~ 500 GeV
mh  GeV ( tree-level)
 GeV ( loop-level)
100 GeV

7. 2. NMSSM Model
Singlet
NMSSM = MSSM +
Symmetry  
 Hu·Hd

8. E6 models (superstring-inspired)
NMSSM naturally exist ?
E6 models (superstring-inspired)
string scale
SO(10)  U(1)  …
at low energy: S, Hu, Hd + heavy particles
U(1) global PQ
to explicitly break U(1) PQ: cubic term

9. Higgs potential:
U(1)PQ
( 0 )
NMSSM
U(1)R
( A0, A0 )

10. Spectrum of NMSSM:
One more CP-odd Higgs (A1)
One more CP-even Higgs
One more neutralino

11. How to solve -problem ？
Before SUSY breaking:
SUSY vacuum: VEVs = 0
EW; Z3 are not broken
With SUSY breaking:
SUSY breaking scale (<TeV)
vacuum: VEVs  0
EW break at weak scale
 term is generated at weak scale

12. Comment: Z3 symmetry is crucial !
Otherwise, introduce a singlet seems no good
(except: in SUSY vacuum EW spontaneously breaking)
Discrete symmetry may cause new problem

13. mh theoretical upper bound
How to solve little hierarchy ？
mh theoretical upper bound
MSSM:
NMSSM:
mh experimental lower bound
has singlet component
suppressed !

14. MSSM fraction of h
V. Barger, et al, hep-ph/

15. 3. B Dileptonic Decay b s

16. In SM:
VKM W s b u t c

17. In SUSY:

18.   g W b s       d u b t s c

21. K. Hikasa, M. Kobayashi, PRD36, 724 (1987)
Assume: soft-terms are flavor universal at GUT scale
flavor mixings occur when evolving down to weak scale

22. b s
SM: only gauge bosons
SUSY: gauge and Higgs bosons

23. b s A1
OPE:

24. =mW =mA1 (integrate out A1) =mb A1 is heavy
A1 is intermediately heavy
A1 is very light

25. Scan over NMSSM parameter space:
Sfermions = 500 GeV
SU(2) gaugino = 200 GeV
U(1) gaugino = 100 GeV
Keep the points allowed by LEPII

26. expt
data
No expt data !

27. Sky-blue points excluded by

28. Sky-blue points excluded by

29. 4. Conclusion In NMSSM a light A1 is allowed
B-meson dileptonic decays can be
greatly enhanced in NMSSM
(a) current data has already set on NMSSM
(b) future high precision expt will be crucial test